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math.NA2021
On the half-space matching method for real wavenumber
Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss
The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Pe…
math.NA2021
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
Simon N. Chandler-Wilde, Euan A. Spence
It is well known that, with a particular choice of norm, the classical double-layer potential operator has essential norm as an operator on the natural trace space $H^{1…